Morrill, Glyn: 1992b, `Categorial Formalisation of Relativisation: pied piping, islands and extraction sites', report de recerca LSI--92--23--R, Departament de Llenguatges i Sistemes Inform`atics, Universitat Polit`ecnica de Catalunya.  Home/Search   Document Details and Download   Summary   Related Articles   Check

.... adjunction we have a headed calculus (Moortgat and Morrill 1991) With families f= n; fflg and f ; Pi g for adjunctions (associative) and ( not assumed to be associative) respectively in a bigroupoid hL; i we have a partially associative calculus (Oehrle and Zhang 1989, Morrill 1990). This forms two thirds of the discontinuity calculus of Morrill (1993) which we shall be considering shortly. 1.3 Labelled Sequent Presentations Labelling (Gabbay 1991) is a means of presenting proof theory which will enable us to factor out the antecedent formulas of a sequent, and its ....

Morrill, Glyn: 1992b, `Categorial Formalisation of Relativisation: Pied Piping, Islands, and Extraction Sites', Report de Recerca LSI--92--23--R, Departament de Llenguatges i Sistemes Inform `atics, Universitat Polit`ecnica de Catalunya.

....in addition to the binary multiplicatives. Apart from the structural modalities, we can mention the domain modalities of Morrill and Hepple, identifying semantic intensionality domains ( 39] or purely syntactic domains of locality ( 23] the bracket operators [ Gamma1 of Morrill [40, 41], implementing locality domains in a different way, or the 3 operator of Morrill [40] declaring argument positions as licensing extraction. Our aim in this section is to develop a general framework that will naturally accommodate the different proposals for unary operators while at the same time ....

.... can mention the domain modalities of Morrill and Hepple, identifying semantic intensionality domains ( 39] or purely syntactic domains of locality ( 23] the bracket operators [ Gamma1 of Morrill [40, 41] implementing locality domains in a different way, or the 3 operator of Morrill [40], declaring argument positions as licensing extraction. Our aim in this section is to develop a general framework that will naturally accommodate the different proposals for unary operators while at the same time providing more fine grained notions of resource control. The key concept, again, is ....

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Morrill, G. (1992) `Categorial formalisation of relativisation: pied-piping, islands and extraction sites'. Report LSI--92--23--R, Universitat Polit`ecnica de Catalunya.

....arises with pied piping constructions, where a wh item moving to clause initial position is accompanied by (or pied pipes ) some larger phrase that contains it, as in e.g. the relative clause to whom John spoke, where the PP to whom is fronted. Following Morrill Solias (1993) and ultimately Morrill (1992), a treatment of pied piping can be given using and #. Again, linkage of infixation and extraction is achieved via complex lexical string assignment. A PP piedpiping relative pronoun might be (rel (s pp) #(pp np) allowing it to infix to a NP position within a PP, giving a functor rel (s pp) ....

Morrill, G. 1992. `Categorial Formalisation of Relativisation: Pied Piping, Islands and Extraction Sites.' Research Report, Dept. de Llenguatges i Sistemes Inform 'atics, Universitat Polit'ecnica de Catalunya.

....N DT 3. John likes k: S RES b=John, a=k 4. John: N Omega k: N RES 5. k: N (79) 8. 2 Bracket Operators and Head Oriented Discontinuity To treat head oriented discontinuity we shall require bracket operators, interpreted in a prosodic algebra such as hL; i where [ is a unary operation (Morrill 1992); for nice symmetric proof theory we require that this is a 1 1 function (permutation) so that its inverse [ Gamma1 is total (Morrill 1994d, 1994c) s ] Gamma1 ] s ] Gamma1 = s (80) D( A) f[ s ]js 2 D(A)g D( Gamma1 A) fsj[ s ] 2 D(A)g = f[ s ] Gamma1 js 2 ....

Morrill, Glyn: 1992, `Categorial Formalisation of Relativisation: Pied Piping, Islands, and Extraction Sites', Report de Recerca LSI--92--23--R, Departament de Llenguatges i Sistemes Inform `atics, Universitat Polit`ecnica de Catalunya.

....as a functor over a functor over e.g. commutable N: R (S 4N) We will argue that the latter approach probably offers most prospects for treatments including domains which are semi islandlike. One way of increasing the discriminatory power of basic Lambek calculus is to add universal modality (Morrill 1989, 1990). Where certain functors are of category B= A, inducing a modal domain on their argument, a higher order functor C= D=E) can only exercise a dependency into the modal domain if E itself is modalised, i.e. is of the form E 0 . For such effects to be made to work however each lexical category ....

....S 12, 13 En 15. Mary likes Fred and John dislikes Bill : S 11, 14 En 16. Mary likes Fred and John dislikes Bill : S 15 E Figure 10: Derivation of Mary likes Fred and John dislikes Bill VP (S(VPffl4N) rather than simply VP S, where VP is ( NnS) For use of the disjunction see Morrill (1990, 1992) which explains how the semantics is conditioned to the different syntactic categories. The approach adopted here resolves a puzzle in a common British English dialect which allows the object or accusative relative pronoun whom to bind downstairs subject nominative positions, but ....

Morrill, Glyn: 1992b, `Categorial Formalisation of Relativisation: pied piping, islands and extraction sites', report de recerca LSI--92--23--R, Departament de Llenguatges i Sistemes Inform`atics, Universitat Polit`ecnica de Catalunya.

....VP modifiers: 10 does too xy( x y) y) VPnVP) VP)#(VPnVP) 25) The antecedent VP semantics is supplied at both its own position, and that of the auxiliary element. Thus there is the derivation of Dan likes golf and George does too in figure 1. 9 For locality constraints see also Morrill (1992, 1994a, ch. 7, 1994b) 10 We need the discontinuity apparatus since the auxiliary element may be medial, e.g. Dan likes golf and George does too probably , where the adverb may scope over just the second conjunct. GENERALISING DISCONTINUITY Dan: N likes golf: VP and: SnS) S George: N ....

MORRILL, G. (1992): `Categorial Formalisation of Relativisation: Pied Piping, Islands, and Extraction Sites', research report LSI--92--23--R, Departament de Llenguatges i Sistemes Inform`atics, Universitat Polit`ecnica de Catalunya.

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Morrill, G. 1992. Categorial Formalisation of Relativisation: Pied Piping, Islands and Extraction Sites. Research Report, Departament de Llenguatges i Sistemes Inform'atics, Universitat Polit'ecnica de Catalunya.

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